14. The difference between two-thirds of a number and one-fourth of it

1.	14. The difference between two-thirds of a number and one-fourth of it is 50. Find the number.15. The sum of two-consecutive odd numbers is 124. Find the bigger number.Hint: Take two consecutive odd numbers as 2x + 1 and 2x + 3]16. The ages of A and B are in the ratio 9 : 4. Seven years hence the ratio of their ages will be 5:3present ages.[Hint: Let ages of A and B be 9x years and 4x years]17. The difference between 12 times the length and 10 times the length of a line is 120 cm. Taking tthe line to be x, find the length of the line in centimetres.hoir If the cost of a table and a chair is 371, find
Answer» Answer: 14. Step-by-step EXPLANATION: According to question:- 2X/3 - X/4 =50 = (8X - 3X) /12= 50 (L.c.m of 3 & 4= 12) 5X =12(50) 5X = 600 X= 600/5 X=120 Hence, the REQUIRED number is 120 [Something to remember] Two-third= 2/3 One-fourth = 1/4 Of = MULTIPLY / = Division

14. The difference between two-thirds of a number and one-fourth of it is 50. Find the number.15. The sum of two-consecutive odd numbers is 124. Find the bigger number.Hint: Take two consecutive odd numbers as 2x + 1 and 2x + 3]16. The ages of A and B are in the ratio 9 : 4. Seven years hence the ratio of their ages will be 5:3present ages.[Hint: Let ages of A and B be 9x years and 4x years]17. The difference between 12 times the length and 10 times the length of a line is 120 cm. Taking tthe line to be x, find the length of the line in centimetres.hoir If the cost of a table and a chair is 371, find

Answer»

Answer:

14.

Step-by-step EXPLANATION:

According to question:-

2X/3 - X/4 =50

= (8X - 3X) /12= 50

(L.c.m of 3 & 4= 12)

5X =12(50)

5X = 600

X= 600/5

Hence, the REQUIRED number is 120

[Something to remember]

Two-third= 2/3

One-fourth = 1/4

/ = Division